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Finding the Third Proportional to 180,997.50 and 389,613

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Solution

The third proportional to 180,997.50 and 389,613 is: 838,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,997.50 : 389,613 = 389,613 : x
  2. Step 2: Convert to fraction form
    180,997.50/389,613 = 389,613/x
  3. Step 3: Cross multiply
    180,997.50x = 389,613 × 389,613
  4. Step 4: Simplify right side
    180,997.50x = 151,798,289,769
  5. Step 5: Solve for x
    x = 151,798,289,769/180,997.50
  6. Step 6: Final answer
    x = 838,676.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.